Question

Area of a rhombus 100sq CM and length of one of its diagonals is 8cm . Find the length What is the answer please tell me?

Answer 1

Answer:

hope it helps you, till then Au Revoir

Answer 2

$\large\bf\underline {To \: find:-}$

• we need to find the length of other diagonal.

$\huge\bf\underline{Solution:-}$

$\bf\underline{\red{Given:-}}$

• Area of rhombus = 100 cm²
• Length of one diagonal = 8cm

we know that,

$\red{ \rm \: Area \: of \: rhombus = \frac{1}{2} \times d_ 1 \times d_ 1 }$

$\rm \rightarrow \: Area \: of \: rhombus = \frac{1}{2} \times d_ 1 \times d_ 2$

$\rm \longrightarrow \: \frac{1}{2} \times 8 \times d_2 = 100$

$\rm \longrightarrow \: \frac{1}{ \cancel2} \times \cancel{8 }\times d_2 = 100$

$\rm \longrightarrow \: 4d_2 = 100$

$\rm \longrightarrow \: d_2 = \cancel\dfrac{100}{4}$

$\rm \longrightarrow \: d_2 = 25$

Hence,

• Length of other diagonal is 25cm

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❥ Some information:-

➝ Area of rhombus = b × h

➝ Area of rhombus = ½ × d1 × d2

➝ Perimeter of rhombus = 4 × side

• Sides of rhombus are equal.

• Diagonals of rhombus are unequal and bisect each other at 90°.

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